Propagation of Bessel-Gaussian beams with optical vortices in turbulent atmosphere

Abstract

An approximate expression of a Bessel-Gaussian beam (BGB) with desired topological charge is introduced using a coherence superposition of decentered Gaussian beams (dGBs). And based on such an expression and the extended Huygens-Fresnel principle, the propagation properties of BGBs traveling in turbulent atmosphere are explored. An analytical expression of the average intensity of a BGB with phase singularity propagating through turbulent atmosphere is obtained and analyzed numerically. It is found that intensity profiles of BGBs experienced successive variations and the phase singularity rapidly fades away during propagating in turbulent atmosphere.

Mean intensity of a fundamental Bessel beam in turbulent atmosphere

“…The complex amplitude of a fundamental Bessel optical beam Eðx; RÞ at the observation point fx; Rg is described by a paraxial wave equation, where x is the distance between the source plane and the observation plane, and R is the vector that determines the distance between the observation point and the optical axis of the laser beam in a plane normal to the radiation propagation direction. Using the extended Huygens-Fresnel principle 12 for the secondorder mutual coherence function of the optical beam field, the mean field intensity of the fundamental Bessel optical beam propagating in a turbulent atmosphere can be written as [12][13][14][15]17 hIðx;RÞi¼hEðx;RÞE Ã ðx;RÞi…”

“…In this regard, research of the features of propagation in a turbulent atmosphere for the Bessel and Bessel-Gaussian beams is vigorously performed. [13][14][15][16][17][18][19][20][21] The majority of these works [13][14][15][16][17] is devoted to the analysis of various aspects of the behavior of the mean intensity of coherent 13,16,17 and partially coherent 14 BesselGaussian beams in randomly inhomogeneous media. In these researches, special attention is given to preservation consideration (or changes) during the propagation of topological structure of Bessel-Gaussian beams.…”

“…In these researches, special attention is given to preservation consideration (or changes) during the propagation of topological structure of Bessel-Gaussian beams. [13][14][15]17 However, the analysis of the degradation of Bessel beams in a turbulent atmosphere these works was significantly darkened by the influence of the factors resulting from consideration of propagation of Bessel-Gaussian beams in the atmosphere. In this case, the influence of the distortions of the Bessel beams caused by turbulence during propagation in the atmosphere is accompanied by the transformation of the most functional form of the laser beam 13 and depends on the large number of optical radiation parameters.…”

Coherence of vortex beams in discrete scattering media

“…0 2 0 2 0 0 gb P E a P = π ≅ (12) Considering expression (12), we will notice, that data for mean intensity of a Gaussian optical beam with a vortex phase factor ( ) …”

“…[1][2][3][4][5] However, till now propagation of vortex optical beams usually examine either in a homogeneous medium, or in a turbulent (randomly inhomogeneous) atmosphere. [6][7][8][9][10][11][12][13][14][15][16][17] Other types of the randomly inhomogeneous media, in particular the discrete scattering media, while remain out of sight of researchers. Meanwhile, in media of propagation of optical radiation often there are particles of matter which actively participate in light scattering.…”